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Unformatted text preview: reddy (ar38357) Vectors clancy (SCI4112) 1 This printout should have 8 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points Consider two vectors vector A and vector B and their re sultant vector A + vector B . The magnitudes of the vectors vector A and vector B are, respectively, 17 . 4 and 5 . 8 and they act at 83 to each other. vector A vector B vector A + vector B Find the magnitude of the resultant vector vector A + vector B . Correct answer: 19. Explanation: Let : a = 17 . 4 , b = 5 . 8 , and = 83 . b r a = 180 83 = 97 , so applying the law of cosines, r 2 = a 2 + b 2 2 a b cos = (17 . 4) 2 + (5 . 8) 2 2 (17 . 4) (5 . 8) cos 97 = 360 . 998 r = 360 . 998 = 19 . 002 (part 2 of 2) 10.0 points Find the angle between the direction of the resultant vector A + B and the direction of the vector A . Correct answer: 17 . 6372 . Explanation: a r b Applying the law of sines, b sin = r sin sin = b sin r = arcsin parenleftbigg b sin r parenrightbigg = arcsin parenleftbigg 5 . 8 sin 97 19 parenrightbigg = 17 . 6372 . 003 10.0 points Consider the vectors vector A and vector B . vector A vector B Which sketch shows the vector vector A vector B to the same scale?...
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This note was uploaded on 11/21/2010 for the course PHYS 12231 taught by Professor Sontar during the Fall '10 term at Ill. Chicago.
 Fall '10
 Sontar
 Physics

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